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10213434 = 2327117369
BaseRepresentation
bin100110111101…
…100000111010
3201012220012100
4212331200322
510103312214
61002524230
7152545530
oct46754072
921186170
1010213434
115846560
123506676
132167a6a
1414dc150
15d6b309
hex9bd83a

10213434 has 48 divisors (see below), whose sum is σ = 27593280. Its totient is φ = 2652480.

The previous prime is 10213397. The next prime is 10213439. The reversal of 10213434 is 43431201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10213439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (574860).

Almost surely, 210213434 is an apocalyptic number.

10213434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10213434 is an abundant number, since it is smaller than the sum of its proper divisors (17379846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213434 is a wasteful number, since it uses less digits than its factorization.

10213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10213434 is about 3195.8463667705. The cubic root of 10213434 is about 216.9654570654.

Adding to 10213434 its reverse (43431201), we get a palindrome (53644635).

It can be divided in two parts, 10 and 213434, that added together give a square (213444 = 4622).

The spelling of 10213434 in words is "ten million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 7369 14738 22107 44214 51583 66321 81059 103166 132642 154749 162118 243177 309498 464247 486354 567413 729531 928494 1134826 1459062 1702239 3404478 5106717 10213434